The Philadelphia Experiment (1984)
This is a classic time-travel movie that has trascended beyond its initial expectations. The time travel component is rather simple, but it introduces us to an interesting way to avoid the paradox. The main characters find themselves thrown into the future, travelling through a wormhole from 1943 to 1984. One of them is accidentally send back to 1943, but the wormhole remains open causing havoc until one the other (David Herdeg) goes back and manages to close it. The people of 1984 knew he would do that as he went into record (in 1943) as the one who closed the wormhole, so all they needed to do was to sit back and allow Herdeg to realize he had no option (doing a little "convincing" of their own). When Herdeg meets the "old" Parker from 1984, Parker avoids talking about the incident, implying that he does not want to disclose the bad news that Herdeg did not survive it. However, the real reason Herdeg was assumed to have died in 1943 when closing the wormhole is that he managed to stay on the 1984 side of it in order to continue his romance with Allison Hayes.
So basically the paradox(es) were simply avoided by having events unfold in a way that no contradictory changes were made in the past that may alter the future, and some mysetrous "higher power" of fate, is applied (with the help of the military) so that Herdeg has no option but doing "the right thing" in this regard. His remaining in the future does of course not allow for a paradox, as he would just have jumped forward some years, and no causality can be violated by this.
Scores: Time travel - genuine: 3; Explanation - scientific: 3; Paradox - avoided: 1; visualisation - simple: 1
Total scores: 331.1